{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# # GSV: a general model for hyperspectral soil reflectance simulation\n",
    "\n",
    "Soil reflectance is crucial for canopy radiative transfer modeling. Spectral vector models are more flexible than typical soil albedo models, because they can ingest observed data and significantly improves hyperspectral soil reflectance modeling in terms of accuracy and robustness. \n",
    "\n",
    "We demonstrate the usage of the general spectral vectors (GSV) model[^1] developed to employ three dry spectral vectors and one humid spectral vector derived from global dry and humid soil reflectance databases including 23,871 soil spectra (400–2500 nm). The GSV model accurately simulates global soil reflectance with an R2 of 0.99 and RMSE of 0.01. The GSV model is highly suitable to be coupled with the CliMA model for vegetation remote sensing studies. \n",
    "\n",
    " [^1]: Jiang, C., & Fang, H. (2019). GSV: a general model for hyperspectral soil reflectance simulation. International Journal of Applied Earth Observation and Geoinformation, 83(July), 101932. https://doi.org/10.1016/j.jag.2019.101932\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load used packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Use Julia Plots package and switch to plotly js option:\n",
    "using Plots\n",
    "using StatsPlots\n",
    "pyplot()\n",
    "\n",
    "#----------------------------------------------------------------------------\n",
    "\n",
    "# First, we include Revise (good for debugging) and Parameters (tools for structures)\n",
    "\n",
    "#using Revise\n",
    "using Parameters\n",
    "using Statistics\n",
    "using CSV\n",
    "using DataStructures\n",
    "\n",
    "#----------------------------------------------------------------------------\n",
    "using LinearAlgebra"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Define used variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1×6 Array{Float64,2}:\n",
       " 0.12365  0.145  0.1739  0.24015  0.3372  0.3076"
      ]
     },
     "execution_count": 213,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The hyperspectral wavelengths\n",
    "WVL = 400:10:2501\n",
    "# The general spectral vectors derived in the manuscript\n",
    "GSV = [CSV.read(\"DryVec.csv\"; header=false);CSV.read(\"SMVec.csv\"; header=false)]\n",
    "# The test hyperspectral data\n",
    "hyper = CSV.read(\"TestSpectrum_v1.csv\";header=false)\n",
    "# The wavelengths of multispectral data\n",
    "wvl = [450,550,650,850,1650,2150]\n",
    "# The test multispectral data sliced from hyperspectral data\n",
    "indices = []\n",
    "\n",
    "for i in wvl\n",
    "    push!(indices, findall(x -> x==i, WVL)[1])\n",
    "end \n",
    "\n",
    "multi = hyper[:,indices]\n",
    "\n",
    "\n",
    "# Step 1: slice GSV according to the wavelengths of multispectral data\n",
    "gsv = GSV[:,indices]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Define plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0-element view(::Array{Float64,1}, Int64[]) with eltype Float64"
      ]
     },
     "execution_count": 182,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Step 2: fit multispectral soil reflectance and reconstruct multispectral soil reflectance\n",
    "X=convert(Matrix,multi)\n",
    "V=convert(Matrix,gsv)\n",
    "C = X * LinearAlgebra.pinv(V)\n",
    "R = C * V\n",
    "R[R.<0] .= 0\n",
    "R[R.>1] .= 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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n6z3SC39X+Tf7FHfPYCX8drSimiWGOxrquZCdIvzp2IBzXVuVkZGhLVu26Mcff1RWVpZWrlypAQMGnPN1MzMzqzyeMmWKpk6dWqtMJ06cqNU6RC72ACT2QYN1yiUtXC9tPSBPp+ay3pYhR6NYOdgPDdal/Cxo0qRJlcchKVht2rTRgQMH5PV6ZbFYZBiGioqKlJKScs7nNGvWTCNHjtSCBQtqLFjLly9XWlpa5WObzSabzVbrbD/9C0HDwx6AxD5oSAzDkGfldjnfXyVFWxT3y+EqbdeEPQBJgftZEJJThElJSerRo4fmzp0rSVq4cKFSU1OVmppaZd3OnTvl9/slSadPn9ann36qbt261fja8fHxSkxMrPy4kHIFAGhYKoczz8xTdPqVavT8HbL2vircsRCBQnaK8O2331ZOTo6ef/55JSYmas6cOZKkESNGaPr06erVq5cWLFig9957T9HR0fL5fBo3bpzuueeeUEUEAEQow++X+59b5VywVuaEWMU/fLOsXRnOjOAxGfX0RlP5+fnq2bOnNm7cqPT09It6jeLiYg4JN3DsAUjsg0jn+6FYjll58u45LNuQrrKPqz6cmT0AKbD7gDu5AwAikuH1qezv+XL9bb3MzRKV8HiWojskhzsWGggKFgAg4nj3HpVj5pfy/VCsmBHpih3TWyYrv/IQOuw2AEDEMDxeuT7+WmWff6OoNk2V+NR4WVKTwh0LDRAFCwAQEcp3/CDHrDz5i0sVm91XMTf1YH4gwoaCBQCo1wyXR84P18idt02W9i2V8JtRikq+LNyx0MBRsAAA9ZZn876K4cwOt+wTB5wZzmw6/xOBIKNgAQDqHf9pl5zvrZJnzU5Fd01RQs5ARV3O/EDUHRQsAEC98a/hzM53V0h+v+LuHSxr/07V5t0C4UbBAgDUC/4TpXL8ZbnK8/cqunc7xU0cIHPjuHDHAs6KggUAqNMMw5B7eYFc81dL0RbF/+omWXu1C3csoEYULABAneU7ekqO2UvlLTgg6/WdZb+9v8xxMeGOBZwXBQsAUOcYfr/cX2yRc+FXMifGKuHh0YrumhLuWECtUbAAAHWK98BxOWblyff9EdmGdJN9XD+ZYqznfyJQh1CwAAB1guH1qezTjXL9bYPMSY2U8Fi2oju0DHcs4KJQsAAAYef9/ogcM/PkO1ismJE9FTu6F8OZUa+xewEAYWO4yyuGMy/epKiUy5X49ARZ2jYLdyzgklGwAABhUb79gByzl1YMZx7fTzHDe8gUZQ53LCAgKFgAgJDyO91yfbhG7qXfytKhpRIeHKWolgxnRmShYAEAQsazaZ8c7yyV4fLIflembIOuYTgzIhIFCwAQdP4Sl5zvrZRn7S5Fd02RneHMiHAULABA0BiGIc+63XLOXSH5DcVNHiJrRkeGMyPiUbAAAEHhLy6VY84ylW/aJ2ufq2SfOEDmRvZwxwJCgoIFAAioyuHMH6yWrBbFPzBC1p5XhjsWEFIULABAwPiOnJJjdp6823+QbcDVir0tg+HMaJAoWACAS2b4/Sr7YrNcC9dVDGeeMkbRXdqEOxYQNhQsAMAl8R44XjHmZu8R2YZ2rxjObIsOdywgrChYAICLYnh9ci3aoLJFG2Vu3kgJT2Qr+iqGMwMSBQsAcBG83x2RY+aX8h0+qZhRPRV7cy+ZoqPCHQuoMyhYAIBaM9zlcuWuU9mSzYpqe2Y4c8rl4Y4F1DkULABArZRvPyDHzDz5TzoUO+FaxQxLYzgzcA4ULABAjfxOt1wfrJZ7eYEsHZOV8PDNimrBcGagJhQsAMA5eb7ZK8c7y2SUeWS/e6BsA7swnBmoBQoWAKAaf4lLzrkr5Fm3W9Hd2lYMZ26aEO5YQL1BwQIAVDIMQ56vdsk5d6UkKe6+obJe24HhzMAFomABACRJvuOn5ZyzTOWb98vat73sE6+XOZHhzMDFoGABQANn+A25l38r5werZYqJVvyvR8iaznBm4FLw/loAiBC5ublK75GuOHuc0nukKzc397zP8R0+qdMvfiznO8tk69tejZ6/k3IFBECNBWvx4sV6//33Kx8XFRVp6NChat26tXJycuRwOIIeEABwfrm5ucrOzlb0yVj9vPf9ij4Zq+zs7HOWLMPnl+uzfJ164n35j5cqYcoYxf3iBpnjbCFODkSmGgvWk08+qR9++KHy8S9/+Utt375dt912mxYvXqwnn3wy6AEBAOc349kZ6pOaoZdv+aNu63mXXr7lj+rd9lo9N+O5amu9hcdU8uxHcn24VjGDu6rRc7crukubMKQGIleNBWv37t3q3r27JKmkpESLFy/Wa6+9ppdfflkvvPBCrQ4/AwCCb+fOneqdklH5bj+TyaQ+bftrx44dlWuMcp+cuetU8vSHkturxGnZst9+nUy26HDFBiJWjRe5e71emc0VHWzFihUyDEPDhw+XJF155ZU6fPhw8BMCAM6rY8eOWl+4Rrem/0wmk0mGYejr/avVqVMnSZJ3z2E5ZubJd+SkYm7uqdhRDGcGgqnGgtWpUyfNmzdP/fr105/+9CdlZGQoPj5eknTo0CE1bdo0JCEBADV7YtoTys7O1kMf/5f6tO2vr/ev1vr9a/XX//lIjvdWyv3FZkWlJinxmQmytGE4MxBsNZ4inDZtmubNm6fExEQtXrxYjz32WOXXPv/8c6Wnpwc9IADg/LKysrRw4UL5mrg1e/2b8jVxK+/t95S5ziF33jbF3tpfidPGUa6AEKnxCNbo0aO1fft2ffPNN+rWrZvat29f+bWMjAx169Yt6AEBALWTlZWlrKws+R1nhjOvKJC5U7ISfjtaUc0bhzse0KCc90ajV155pa68svo9USZPnhyUQACAi+fJ/16OOctklJXLnjNQtkyGMwPhcN6CdeLECX3++ec6cOCAysrKqnzNZDJp2rRpQQsHAKgd/ylnxXDmr/countbxeUMkrlJfLhjAQ1WjQXriy++0Lhx41RaWiqr1aro6Kpv5aVgAUB4GYYhz5pdcs5bIZlNivuvG2Xt157hzECY1ViwHnroIfXs2VN//vOf1a5du1BlAgDUgu/4aTnfWabyLftl7dde9jsHyJwYG+5YAHSegvX999/r1VdfpVwBQB1i+A25l26T88M1MsVaFf+bkbL2uCLcsQD8hxoLVnp6uoqKikKVBQBwHr7DJ+SYuVTeXQdlG9hFsbdmyGxnfiBQ19RYsN5880397Gc/U6tWrTR48GBZLOe9Jh4AEASGz6+yxZvk+nidzJfFK+GRWxTduXW4YwE4hxobU0ZGhsrLyzVixAiZzWbFxlY9t28ymXTq1KmgBgSAhs5beEyOP38pX+ExxQzrrtisvswPBOq4817kzjtRACA8jHKfXH9br7K/5yuqZeOKO7G3ax7uWABqocaC9fTTT4coBgDgP5XvOSTHzDz5j5xS7M29FHNzT5ksDGcG6otaXVTldDr1zTffqLi4WE2aNFF6enq104UAgEtnlHnkXLhO7n9sVtQVzZU4/VZZWjcNdywAF+i8Beu5557Tiy++KIfDIcMwJEnx8fF65JFHqgx/BgBcmvJthXLMXip/iUv2266T7cZuMpnN4Y4F4CLUWLBef/11TZs2TZMnT9btt9+uFi1a6PDhw/rggw/05JNPKj4+Xg888ECosgJARPI7yuT8YLU8K7bL0rmVEqbcoqjmjcIdC8AlqLFgvfHGG/rtb3+rF198sfJzHTt2VGZmphITE/WHP/yBggUAl8Cz4Ts5/rJc8nhl//kg2TKv5s1FQASo8dhzYWGhhg4detavDRkyRIWFhUEJBQCRzn/KqdI/LFbp7z+X5YokNXr+DsUM7EK5AiJEjUewkpOTtWrVKg0ZMqTa11avXq3k5OSgBQOASGQYhjyrd8r53krJbFbc/cNk7XMVxQqIMDUWrHvuuUdPPfWU3G63JkyYoBYtWujIkSP68MMP9fLLL+uZZ54JVU4AqPd8x0oqhjNvLZT12g6y33m9zAm8IxuIRDUWrEcffVTHjx/Xq6++qpdeeunfT7JY9Otf/1qPPvpo0AMCQH1n+A2587bKuWCtzHab4h8cJWtaarhjAQiiGguWyWTSK6+8oscee0zr1q3TiRMn1KRJE/Xp00dNm3JfFgA4H9+hE3LMypN31yHZBl0j+60ZMsVawx0LQJDV6kajTZs21YgRI4KdBQAihuH1VQxn/uvXMjeJV8KjYxXdqVW4YwEIkWoFKzc3VzfccIMaN26s3Nzc875AVlZWUIIBQH3l3f+jHDPzKoYz35Sm2Fv6MJwZaGCqFaxx48bpq6++Up8+fTRu3Lgan2wymeTz+YIWDgDqE8Pj/fdw5uQmSnxqnCxXMJwZaIiqFay9e/eqZcuWlX8GAJxf+a5Dcsz6Uv6jJYq9pY9iRqYznBlowKoVrLZt2571zwCA6owyj5wffSX3P7co6kqGMwOoUOOd3KOiovT111+f9WsbN25UVBT/OgPQcJVvLdSpx9+Xe3mB7Ldfp8QnsilXACSd512EhmGc82vl5eUULAANkr+0TM73V8mzaocsV7dWwtRbFJXEcGYA/1atYB0+fFgHDx6sfLxz505ZLFWXlZWVadasWZxCBNDgeNbvkePdFVK5V3G/uEHWAZ0ZcwOgmmoF6+2339Yzzzwjk8kkk8mknJycak8yDENRUVF68803Q5ERAMLOf9Ihx7srVL7hO0WnX6G4uzJlviw+3LEA1FHVClZOTo4GDhwowzB0ww036I033tDVV19dZY3ValWHDh24mzuAiGcYhjyrdsj5/iopyqz4/ztc0b3bcdQKQI3O+i7Cf536W7p0qdLT05WQkBDyYAAQbr4fS+R4Z6m824pkzego+53XyRzPcGYA51fjRe6ZmZmhygEAdYbhN+T+coucC76SOc6m+P++WdbuXHMKoPZqvE2DJM2dO1fXXXedkpKSlJiYWO2jtnbv3q2MjAx16NBBffr0UUFBQbU18+fPV48ePXTNNdeoa9eu+v3vf39h/zUAcIl8B0/o9PO5cs5dKdt1ndTo+TsoVwAuWI0Fa+7cubrnnnt0zTXX6NixY5owYYKys7NltVqVlJSkhx9+uNbf6L777tPkyZO1a9cuTZkyRZMmTaq2pnXr1vr888+1bds2rVq1Sq+//rpWr1594f9VAHCBDK9PrkUbdGra+/KXOJXw6FjF3ZUpU6w13NEA1EM1FqxXXnlF06ZN0xtvvCFJuv/++zV79mzt3btXzZo1U3x87d5Bc/ToUeXn52vixImSpOzsbO3du1f79u2rsq5///5q0aKFJKlRo0bq1KkT43oABF9RsUqeWSBX7jrFDEtToxm3K7pTq3CnAlCP1Viwdu/erf79+ysqKkpRUVEqKSmRJCUkJGjq1Kn63//931p9k6KiIiUnJ1feT8tkMiklJUWFhYXnfE5BQYHWrl2rG264ocbXLi0tVUlJSeWH2+2uVSYAMDxeOT9cI722RJKU+OR42SdkyGSt8fJUADivGn+KNGrUqLKwtGrVSgUFBRo4cKAkyefz6fjx47X+Rj99S3NNd4k/cOCAxowZo7feekvJyck1vu5PL8SfMmWKpk6dWqtMJ06cqNU6RC72QAP2/VHpg3VSsUOuzKsUO7KnSqLMUnFxuJMhDPhZAOnS9kGTJk2qPK6xYPXq1UtbtmzRsGHDNHr0aD3zzDPy+/2Kjo7WCy+8oL59+9bqm7Zp00YHDhyQ1+uVxWKRYRgqKipSSkpKtbUHDx7UkCFD9MQTT2j8+PHnfe3ly5crLS2t8rHNZpPNZqtVLqn6XwgaHvZAw2K4PHIuWCv3l1tluaqF4v77ZimGfQD2ACoEah/UWLAeffRR7d+/X5I0ffp07d+/Xw8++KB8Pp969+6tP/3pT7X6JklJSerRo4fmzp2rnJwcLVy4UKmpqUpNTa2y7tChQxo8eLCmTp2qu+++u1avHR8ff0HvZgTQcHm27JfznWXyn3bJfuf1sg3pKpOZo1YAAs9k1HSu7izcbrfcbvcFl5qdO3cqJydHx48fV2JioubMmaMuXbpoxIgRmj59unr16qV7771X7733ntq3b1/5vF//+tf6+c9/Xu318vPz1bNnT23cuFHp6ekXlOVfiouL+RdLA8ceaBj8pRVLFOkAACAASURBVC4531slz+qdsnRpo7ifD1JUs3//DGMfgD0AKbD74IILVl1BwUIgsAcim2EYKt/wnRx/WS55/bLf3l/W66sPZ2YfgD0AKbD7oNopwgceeKDWTzaZTHr99dcDEgQAAsl/0iHHX5arfOP3iu55ZcVw5sZx4Y4FoIGoVrAWLVpU6ydTsADUNYZhyLNyu5zvr5YsZsX/criiezGcGUBoVStY3NgTQH3l+7FEjtlL5f22SNb+HWW/g+HMAMKDu+kBqPcMv1/uf26Vc8FamRNiFf/QzbJ2Y34ggPCpsWCtWLHivC8wYMCAgIUBgAvlO1gsx8w8efcclm1IV9nHXcv8QABhV2PBGjhwoEwmU5W7rv/0OgafzxecZABQA8PrU9ln38j1ydcyN0tUwuNZiu5Q8+QHAAiVGgvW+vXrq32uuLhYX3zxhT7++GO99dZbQQsGAOfi3XtUjplfyvdDsWJGpCt2TG/mBwKoU2r8idSzZ8+zfn7o0KFKSEjQzJkzNWTIkKAEA4CfMjxeuf76tco+/0ZRrZsq8anxsqQmhTsWAFRz0f/k69+/v15++eVAZgGAcyrf8YMcs/LkLy5VbFZfxdzUQyZLVLhjAcBZXXTB+utf/8pdbwEEneHyyPnhGrnztslyVQsl/GaUopIvC3csAKhRjQVr9OjR1T7n8Xi0c+dOFRYW6qWXXgpaMADwbN5XMZzZ4ZZ94gDZBneVycwNQwHUfTUWrJKSkmrvGoyJidGQIUM0btw4DRs2LKjhADRM/tNnhjOv2SnLNW2UkFN1ODMA1HU1Fqxly5aFKAYAnBlz8/UeOd9dIfn9irt3sKz9OzHmBkC9w/uaAdQJ/hOlFcOZ8/cqulc7xf1sAMOZAdRb5y1YX331lRYsWKCioiKVlZVV+ZrJZNInn3wStHAAIlNubq6mz5iunTt2qmOnjnrzZw+p8y6XFG1R/C+Hy9r7qnBHBIBLUmPBev311/Xggw8qKSlJ7dq1k9XK+AkAlyY3N1fZ2dlq0jVJvcemaYorQ502ndLBNrHq/MgdMsfHhDsiAFyyGgvWyy+/rF/+8pd67bXXZDabQ5UJQASbPmO6Lu/aXFNuHac797RXSbxHP982T4XbyvTNjEnhjgcAAVFjwXI6nRozZgzlCkDAGAdP6qMb71WXXUn6LKVI867aoz2lp3Xw4+/CHQ0AAqbG5jRhwgR9/vnnocoCIIIZXp9cn6zXF0MflN0dpcd6r9fMTjvlivLq5NYf1alzp3BHBICAqfEI1muvvaZJkybpjjvu0JAhQ9S4ceNqa7KysoIWDkBk8H5/RI6ZefIdLNbBjo10/VMPK257EzXu2kwnt/6o4q1H9edchscDiBw1FqyCggKtWrVKhYWF+uCDD6p93WQyyefzBS0cgPrNcJefGc68SVEplyvx6Qnq0baZ3rs6Uc8+96x2fLxDnTp30p9z39LYsWPDHRcAAqbGgjVp0iQlJiZq0aJF6tChA+8iBFBrVYYzj++nmOE9ZIqquCohKyuLo98AIlqNBWvHjh3Kzc3V8OHDQ5UHQD1nuDxyzl8j99JtsnRoqYQHRymqJcOZATQsNRasbt266ejRo6HKAqCe82zaJ+ecZfI73bLflSnboGsYzgygQaqxYL355puaNGmSWrZsqUGDBsliYbIOgOr8p11yzlspz9pdiu6aooScgYq6nOHMABquGhtTZmamysvLNXz4cJnNZsXGxlb5uslk0qlTp4IaEEDdZRiGPOt2yzl3heQ3FDd5iKwZHRnODKDBq7FgPfTQQ/ygBHBW/uJSOeYsU/mmfbL2vkr2nw2QuZE93LEAoE6osWA9/fTTIYoBoL4wDEPu5QVyfbBasloU/6ubZO3VLtyxAKBO4aIqALXmO3JKjtl58m7/QdYBnWW/rb/McQxnBoCfqlawRo8erVdeeUXt27fX6NGja3yyyWTSJ598ErRwAOoGw+9X2Reb5Vq4TubEWCVMGaPoLm3CHQsA6qxqBev06dOVd2cvKSnhGiyggfMeOF4x5mbvEdmGdpc9u69MMdx0GABqUq1gLV26tPLPy5YtC2UWAHWI4fWpbNFGuRZtkLl5IyU8ka3oq1qGOxYA1AtcgwWgGu93R+SY9aV8h04qZmS6Ykf3lik6KtyxAKDeMP/0E8eOHdOWLVuqLdyyZYvGjRunLl26aPDgwVq0aFFIAgIIHcNdLuf7q1Ty7EeSJUqJT0+QPbsf5QoALlC1I1iPPvqoNm7cqPz8/MrP7d+/X9dff72cTqe6d++ubdu2aezYscrLy9OAAQNCGhhAcJRvPyDHzDz5TzoUO/5axQxPqxzODAC4MNV+eq5evVp33nlnlc/97ne/U2lpqf7+979rw4YN2rdvn/r166cXX3wxZEEBBIff6ZZj9lKdfuGvMl8Wr0YzblPsyHTKFQBcgmpHsH744Qddc801VT63aNEipaWl6cYbb5QkxcbG6le/+pUefvjh0KQEEBSeb/bK8c4yGWUehjMDQABVK1gmk6nKrRmOHDmivXv36je/+U2Vda1atdKxY8eCnxBAwPlLXHLOWyHPV7sV3a2t7DkDFdU0IdyxACBiVCtYHTt21D//+c/Ko1WffvqpTCZT5eN/OXTokJo1axaalAACwjAMeb7aJefclZKkuPuGynptB+53BwABVq1gPfDAA7rrrrt04sQJtWjRQn/84x911VVXaciQIVXWLVmyRF27dg1ZUACXpspw5r7tZZ94vcyJDGcGgGCoVrDuvPNOFRUV6Q9/+INOnjypnj176s0335TF8u+lR48e1aJFi/TMM8+ENCyAC2f4DbmXfyvnB6tliolW/K9HyJp+ZbhjAUBEO+uNRh955BE98sgj53xSUlKSjhw5ErRQAALDd+SkHLOWyrvjB9kyr1bsrf1ljrOFOxYARDzu5A5EIMPnV9mSTXLlrpO5cRzDmQEgxLjRDRBhvIXHVPLsR3J9uEZFKTEamfe/aty7g3r2SFNubm644wFAg0DBAiKEUe6TM3edSp7+UHJ7lX/d5Up76heyFBfqoV5tFX/ioLKzsylZABACnCIEIoB3z2E5ZubJd+SkYkb1VOzNvTS1T08NaNtMc8f0kMlk0r092urOT/L1/IxnlZWVFe7IABDROIIF1GOGu1yO91aqZMZHks1SMZw5q69M0VHasXOnMlOaVN7jymQyaWBKU23fsSPMqQEg8nEEC6inyr8tkmP20orhzBMyFDOs6nDmTh07annhQd3bo61MJpMMw9CywuPq3KlTGFMDQMNAwQLqGb/DLdf81XIvL5ClU7ISfjtaUc0bV1v3+LQnlZ2drTs/ydfAlKZaVnhcK/cfU+7v/hSG1ADQsHCKEKhHPPnf69Rj8+Ret1v2nIFKmDr2rOVKkrKysrRw4UI5m7TWKxv2y9mktXJzczV27NgQpwaAhocjWEA94C9xyjl3pTzrdiu6e1vF5QySuUn8eZ+XlZXFBe0AEAYULKAOMwxDnjW75Jy3QjKZFPdfQ2Xtx3BmAKjrKFhAHeU7flrOOctUvnn/meHMA2ROjA13LABALVCwgDrG8BtyL90m54drZIqxKv7XI2VNvyLcsQAAF4CCBdQhvsMn5ZiVJ+/Og7IN7KLYWzNktjOcGQDqGwoWUAcYPr/KFm+S6+N1Ml8Wr4RHblF059bhjgUAuEjcpgEIsdzcXHXv0VOx9jh179FTS2bPV8n0BXItWKuYwV3VaMZtlCsAqOc4ggWEUG5urrKzs2XqMlTRo57WyJOFSss7rFONbEqeNk6Wds3DHREAEAAcwQJC6Jlnn5Opy1D1zJmpZU1a6oHkznr10G5lrZ1FuQKACELBAkLowJ7vNaP7CH2+9ROVRlk1KC1bLzVpq2+3fxvuaACAAOIUIRAi5dsKtWLUFDUyS0+m9tPbrbrKL5NM336hjp07hzseACCAKFhAkPkdZXJ+sFqeFdsVk9xU1//pce1PSZPR5UaZvv1CRsE/9VRubrhjAgACiFOEQBB5NnynU4++p/L138n+80G68uV79cqct9XNdkIxnz6tbrYTDGAGgAjEESwgCPynnHK+u0Ke9XsUnZaquLsHVg5nZgAzAEQ+ChYQQIZhyLN6p5zvrZTMJsX9nxtl7due4cwA0MBQsIAA8R0/LefspSrfWijrtR1kv/N6mRMYzgwADREFC7hEht+QO2+rnAvWyhRrVfyDI2VNYzgzADRkFCzgEvgOnagYzrzrkGyDuih2AsOZAQAULOCiGD6/yj7/Rq6/fs1wZgBANRQs4AJ59/8ox8w8+QqPKWZ4mmLH9pHJFh3uWACAOoSCBdSS4fHK9bf1Kvt7vqKSmyjxyXGyXMn8QABAdRQsoBbKdx+SY2ae/EdPKfaWPooZmS6TJSrcsQAAdRQFC6iBUeaR86Ov5P7nFkVd2VyJ02+VpXXTcMcCANRxFCzgHMq3FsrxzlL5S1yy336dbEO7yWRmuhQA4PwoWMBP+EvL5Hx/lTyrdshydWslTL1FUUmNwh0LAFCPhOyf47t371ZGRoY6dOigPn36qKCgoNqa9evXKyMjQ3a7XePGjQtVNKCSZ/0enXrsPZXnf6+4X9yghCljKFcAgAsWsoJ13333afLkydq1a5emTJmiSZMmVVvTsmVLvfbaa/rd734XqliAJMl/0qHTv/9cpX9YLEu75mr0/B2yZV7NDEEAwEUJScE6evSo8vPzNXHiRElSdna29u7dq3379lVZ17p1a/Xp00c2G3fCRogYhtwrt+vUY+/Ju/Og4u4fpvgHRsh8WXy4kwEA6rGQXINVVFSk5ORkWSwV385kMiklJUWFhYVKTU29pNcuLS1VSUlJ5WObzUZBQ634fiyR/r+lcuw8LGtGR9nvvE7meIYzAwAuXcgucv/pqRbDMALyupmZmVUeT5kyRVOnTq3Vc0+cOBGQDKhn/Ia0apf0983yx1hkvjdTnqtbyeNxScWucKdDGPCzAOwBSJe2D5o0aVLlcUgKVps2bXTgwAF5vV5ZLBYZhqGioiKlpKRc8msvX75caWlplY8v9AjWT/9CENl8B0/IMWupvLsPyXbDNXIP7awmydyNHfwsAHsAFQK1D0JyDVZSUpJ69OihuXPnSpIWLlyo1NTUSz49KEnx8fFKTEys/OD0IM7G8PrkWrRBp6a9L3+JUwmPjlXc3QOlGGYIAgACL2SnCN9++23l5OTo+eefV2JioubMmSNJGjFihKZPn65evXrpu+++U2ZmppxOp8rKytS6dWs99thjuv/++0MVExHIu/9HOf78pXxFxxVzU4+K4cxWbgEHAAiekP2W6dixo9auXVvt85999lnln9u1a6cDBw6EKhIinOHxyvXXr1X2+TeKatVEiU+Nk+UKTgcCAIKPf8YjIpXvOlgxnPlYCcOZAQAhR8FCRDFcHjkXrJX7y62KatdcjR64TVGtuHAVABBaFCxEDM/W/XLOXib/aZfsd14v25CuDGcGAIQFBQv1nr+0TM73VsqzeqcsXdoo4dGximqWGO5YAIAGjIKFes2zfo8cf1kuef2Km3SDrNd3Zn4gACDsKFiol/wnHXK8u1zlG75XdM8rFXdXpsyN48IdCwAASRQs1DOGYcizcruc76+WLGbF/3K4onu146gVAKBOoWCh3vD9WCLH7KXyflska/+Ost/BcGYAQN1EwUKdZ/j9cv9zq5wL1sqcEKv4h26WtVvbcMcCAOCcKFio03wHi+WYmSfvnsOyDe4q+/hrZYq1hjsWAAA1omChTjK8PpV99o1cn3wt8+WJSngsS9Edk8MdCwCAWqFgoc7x7j0qx8wv5fuhuGI48y0MZwYA1C/81kKdUWU4c+umSnxqvCypSeGOBQDABaNgoU4o3/GDHLPy5D9+WrFZfRVzUw+GMwMA6i0KFsLqP4czW65qoYTfjFJU8mXhjgUAwCWhYCFsPJv3y/nOUvkdbtknXi/b4G4ymblhKACg/qNgIeT8pS45562SZ82Z4cw/H8RwZgBARKFgIWQMw5Dn6z1yvrtC8vkVd89gWa/rxJgbAEDEoWAhJPwnSuX4ywqV53+v6F5XKu5nDGcGAEQuChaCyjAMeVZsl/ODVVK0RfG/HC5r76vCHQsAgKCiYCFofEdPVQxnLjgg63WdZL/9OpnjY8IdCwCAoKNgIeAMv1/uf2yR86OvZE6MVcLDoxXdNSXcsQAACBkKFgLK90OxSmd+Kd/3R2Qb0k32cf1kimE4MwCgYaFgISAMr09lf8+X62/rZW6WqITHshXdoWW4YwEAEBYULFwy794jcszMqxjOPDJdsaN7M5wZANCg8VsQF81wl58ZzrxJUSmXK/HpCbK0bRbuWAAAhB0FCxelcjhzcalix/VTzPA0hjMDAHAGBQsXxHB55Jy/Ru6l22Tp0FIJD45SVEuGMwMA8J8oWKg1z6Z9cs5ZJr/TLfvPBsh2Q1eGMwMAcBYULJyX/7RLznkr5Vm7S9FdU5SQM1BRlzOcGQCAc6Fg4ZwMw5Bn3W45566Q/Ibi7h0ia/+ODGcGAOA8KFg4K39xqRx/Wa7yb/Yqune7iuHMjezhjgUAQL1AwUIVhmHIvbxArg9WS1aL4n91k6y92oU7FgAA9QoFC5V8R07JMTtP3u0/yHp9Z9lv7y9zHMOZAQC4UBQsyPD7VfbFZrkWrqsYzvzb0Yq+huHMAABcLApWA+c9cLxizM3eI7IN7S57dl+GMwMAcIkoWA2U4fWpbNFGuRZtkLl5IyU8ka3oqxjODABAIFCwGiDv90fkmPmlfIdO/ns4czRjbgAACBQKVgNiuMvlyl2nsiWbFdX2zHDmlMvDHQsAgIhDwWogyrcfkGPWUvlPlCp2/LUVw5mjzOGOBQBARKJgRTi/0y3X/DVyL/tWlg7JSnholKJaMJwZAIBgomBFMM83e+V4Z5mMMo/sd2XKNugahjMDABACFKwI5C9xyTlvhTxf7VZ0t7ay5wxUVNOEcMcCAKDBoGBFEMMw5Plql5xzV0qGobjJQ2XN6MBwZgAAQoyCFSH8xaVyzFmm8k37ZO1zlew/GyBzIsOZAQAIBwpWPWf4DbmXfyvnB6tliolW/AMjZO15ZbhjAQDQoFGw6jHfkZNyzFoq744fZBtwtWJv6y9znC3csQAAaPAoWPWQ4fOrbMkmuXLXydw4TglTxii6S5twxwIAAGdQsOoZb9GxiuHM+45WDGce108mW3S4YwEAgP9AwaonjHKfXIs2qOzTjYpq3liJT4yT5aoW4Y4FAADOgoJVD3i/O1xx1OrwScWM6qnYm3sxnBkAgDqMglWHGe5yORd+JfcXmxXVthnDmQEAqCcoWHVUecEBOWblyX/SodgJGYoZxnBmAADqCwpWHeN3uOWav1ru5QWydEpWwm9HK6p543DHAgAAF4CCVYd48vfKMefMcOacgbJldmE4MwAA9RAFqw7wlzjlnLtSnnW7Fd29reJyBsncJD7csQAAwEWiYIWRYRjyrN0l57yVkqS4/xoqaz+GMwMAUN9RsMLEd/y0nHOWqXzzfln7tpd94gCZE2PDHQsAAAQABSvEDL8h99Jtcn64RqYYq+J/PVLW9CvCHQsAAAQQBSuEfIdPyjErT96dB2XLPDOc2c5wZgAAIg0FKwQMn19lizfJ9fGZ4cxTb1H01a3DHQsAAAQJBSvIvIXH5Jj5pXz7jylmWHfFZvVlODMAABGOghUkRrlPrr+tV9nf8xXVorESp2XL0o7hzAAANAQUrCAo33NIjpl58h85pZibzwxntjCcGQCAhoKCFUCGu1zOj76S+x+bFZWapMRnJsjShuHMAAA0NBSsACn/tqhiOHOJS7G39lfMsO4ymRnODABAQ0TBukR+h1vOD1bJs2K7LJ1aKWHKGIYzAwDQwFGwLoFn4/dy/GWZ5PYynBkAAFSiYF0E/ymnnO+ukGf9HkWnpSru7oEMZwYAAJUoWBfAMAx51uysGM5sNinu/9woa9/2DGcGAABVULBqyXf8tJzvLFP5lv2yXttB9juvlzmB4cwAAKA6CtZ5VBnOHGtV/IMjZU1jODMAADg3ClYNfIdPyDFzqby7Dso2qItiJ2QwnBkAAJwXBessKoYzfyPXx1/LfFm8Eh65RdGdGc4MAABqh4L1E979P8oxM0++wmOKGZ6m2LF9GM4MAAAuCAXrDMPj/fdw5uQmSnxynCxXNg93LAAAUA+FbJbL7t27lZGRoQ4dOqhPnz4qKCg467oZM2aoXbt2ateunaZNmxaSbOW7D+nUk/NV9tk3ih3Tu2KGIOUKAABcpJAVrPvuu0+TJ0/Wrl27NGXKFE2aNKnamhUrVuj999/Xli1bVFBQoM8//1xLliwJXih3uRxzV+j0cwtlsluVOP1Wxd7SRyZLVPC+JwAAiHghKVhHjx5Vfn6+Jk6cKEnKzs7W3r17tW/fvirr5s+fr5ycHMXFxclms+kXv/iF3n///aBkKt9WKL34mdzLC2S/7TolPpEtS+umQfleAACgYQlJwSoqKlJycrIslopLvkwmk1JSUlRYWFhlXWFhodq2bVv5ODU1tdqanyotLVVJSUnlh9vtPm8ew+XR6Vc/lS6PV6PnblfM8DSZzCE7mAcAACJcyC5y/+k4GcMwzrvuXGv+U2ZmZpXHU6ZM0dSpU88f6LFROiGPZPFJxcXnX4+IdOLEiXBHQB3APgB7ANKl7YMmTZpUeRySgtWmTRsdOHBAXq9XFotFhmGoqKhIKSkpVdalpKRUOW24f//+amt+avny5UpLS6t8bLPZZLPV4magTZpIxcXV/kLQ8LAHILEPwB5AhUDtg5CcF0tKSlKPHj00d+5cSdLChQuVmpqq1NTUKuvGjx+vOXPmyOFwyO12a9asWbrttttqfO34+HglJiZWftSqXAEAAARRyC48evvtt/X222+rQ4cOeuGFFzRz5kxJ0ogRI7RhwwZJ0sCBAzVhwgR17dpVnTt31o033qjhw4eHKiIAAEBAmIzaXOhUB+Xn56tnz57auHGj0tPTL+o1ijlF2OCxByCxD8AeQIVA7oMG+9Y5t9utF198sVbvOkRkYg9AYh+APYAKgd4HDfYIVklJiRo1aqRTp04pMTExCAlR17EHILEPwB5AhUDvgwZ7BAsAACBYKFgAAAABFrIbjQaay+WSJG3fvv2inl9aWipJ2rRpk+Lj4wOWC/UHewAS+wDsAVQIxD7o1KmT7Ha7pHp8Dda8efMqZxsCAACE239eF15vC9axY8e0ZMkSpaamKjY2NtxxAABAAxcRR7AAAADqKi5yBwAACDAKFgAAQIBFfMHavXu3MjIy1KFDB/Xp00cFBQVnXTdjxgy1a9dO7dq107Rp00KcEsFUmz2wfv16ZWRkyG63a9y4cWFIiWCqzR6YP3++evTooWuuuUZdu3bV73//+zAkRTDVZh98/PHH6tatm9LS0tSlSxc9/vjj4kqayFLbXiBJP/74o5o3b35xvxeMCDdo0CBj9uzZhmEYxoIFC4x+/fpVW7N8+XLj6quvNkpLS42ysjKjZ8+exuLFi0OcFMFSmz1QVFRkrFu3znjrrbeM7OzsECdEsNVmD6xatco4dOiQYRiGcfLkSaNdu3bGqlWrQhkTQVabfVBSUmL4fD7DMAzD7XYbvXv3Nj755JNQxkSQ1WYf/Mu4ceOMnJyci/q9ENFHsI4ePar8/PzK2zlkZ2dr79692rdvX5V18+fPV05OjuLi4mSz2fSLX/xC77//fhgSI9Bquwdat26tPn36yGazhSElgqm2e6B///5q0aKFJKlRo0bq1KmT9u7dG+q4CJLa7oOEhASZzRW/GsvKyuR2uysfo/6r7T6QKm4H1bx5c2VmZl7U94roXVNUVKTk5GRZLBX3UzWZTEpJSVFhYWGVdYWFhWrbtm3l49TU1GprUD/Vdg8gcl3MHigoKNDatWt1ww03hComguxC9sGaNWvUrVs3JSUlafDgwRo5cmSo4yJIarsPDh48qFdffVUvvPDCRX+viC5YUsVf3n8yznEu/T/XnWsN6qfa7gFErgvZAwcOHNCYMWP01ltvKTk5OdjREEK13QcZGRnasmWLioqKtH79eq1cuTIU8RAitdkH9957r1566aVLurN/vR2VUxtt2rTRgQMH5PV6ZbFYZBiGioqKlJKSUmVdSkpKlcOD+/fvr7YG9VNt9wAi14XsgYMHD2rIkCF64oknNH78+DCkRbBczM+CZs2aaeTIkVqwYIEGDBgQwrQIltrug7Vr12rSpEmSKkbouFwuDRs2TEuWLKn194roI1hJSUnq0aOH5s6dK0lauHChUlNTlZqaWmXd+PHjNWfOHDkcDrndbs2aNUu33XZbGBIj0Gq7BxC5arsHDh06pMGDB2vq1Km6++67w5AUwVTbfbBz5075/X5J0unTp/Xpp5+qW7duoY6LIKntPiguLta+ffu0b98+vfzyy7rpppsuqFxJivx3Ee7YscPo16+f0b59e6Nnz57Gtm3bDMMwjJtuuslYv3595bpnnnnGuOKKK4wrrrjCePTRR8MVF0FQmz2wZ88eo1WrVsZll11mxMbGGq1atTLeeOONcMZGANVmD9xzzz2G3W43unfvXvkxa9ascMZGgNVmHzz77LNG586djW7duhldunQxnnrqKcPv94czNgKstr3gX2bPnn1R7yJkVA4AAECARfQpQgAAgHCgYAEAAAQYBQsAACDAKFgAAAABRsECAAAIMAoWAABAgFGwAJzX008/LZPJpFatWlXehPE/jRgxQiaTSaNGjQpDuobl6aef1po1a8IdA8D/3969xkR1bQEc/4/jIDhYYBidFIkUq+CAFaQZrQaEDghSYieaiK+RGrGNwUeDETupiWi0TSyktaCtiY9aa2lqa6O2QYVofAUFJSYqIi0aVFqtjlhTUYvgvh8azr3TQS8gjem965fMh7Mfa9Y5n1bO3jn7v5ACSwjRKQaDAbfbzaFDhzza8gD+2gAACDZJREFU3W435eXlT3Vml+i8lStXSoElxD+AFFhCiE7x8fEhPT2dkpISj/YdO3YQEhJCXFzcM8qse1paWjp8GyeEED1BCiwhRKfNmDGDnTt30tLSorWVlJQwbdo0rxPqGxsbcTqdmM1m/Pz8GDduHNXV1R5jtm3bRnx8PCaTiaCgIJKSkqiqqvKKk5mZicViwdfXl/DwcHJzc7X+2bNnM3z4cI85brcbnU7H1q1btbYXXniBBQsWUFBQQFhYGH5+fty6dQuA2tpaHA4HAQEBGI1GMjIyuHjxokdMnU7HmjVrcLlc9O/fn8DAQJYsWYJSigMHDhAbG4u/vz92u52rV696zP3jjz949913CQsLo0+fPlitVq9Ctf0+Dh06xMiRIzEajYwaNcrjmbU/47y8PHQ6HTqdTnujuGXLFqKjo/Hz8yM4OJj4+HhOnjyJEOLZ6P2sExBC/HNMnDiRuXPnsnfvXhwOB5cvX6aiooL169dTWVmpjbt9+zbx8fH4+/tTXFxMQEAAxcXF2O12fvrpJwYMGABAQ0MDWVlZvPjii7S0tFBSUsK4ceM4c+YMERERAGRlZfHLL79QVFSExWLhypUrnDp1qlv579y5k4iICD7++GP0ej19+/bl0qVLjB07luHDh7N161Z69erFe++9R3JyMnV1dfTp00ebv27dOux2O9u3b6eyspL8/Hza2to4cOAAy5Ytw8fHh0WLFpGdnU1ZWZk2LzMzk2PHjpGfn4/VaqW0tBSn00lQUBDp6enauOvXr7No0SJcLhfPPfccLpeLSZMmcfHiRQwGA8ePH2fMmDEsXLiQGTNmABAVFcWRI0fIzs5myZIlvPbaa9y7d4+qqip+++23bj0nIUQPeLojE4UQ/w/y8/OV0WhUSik1a9YslZmZqZRS6v3331dRUVFKKaUSExNVRkaGUkqp5cuXq4CAAPXrr79qMR48eKBCQ0NVXl5eh//R1tamHj58qCIjIz0OXDcajaqoqOixub3xxhsqOjrao+3mzZsKUJ999pnWFhYWpsxms2pubvYYm5WVpcLDw9X9+/e1ths3biij0ehx4DegRo8e7TH35ZdfVjqdTp0/f15rKy4uVoC6ffu2UkqpgwcPKkDt37/fY+6UKVOUzWbzuA+dTqcdPKuUUuXl5QpQR48e9cijoKDAI1ZBQYEymUwdPyAhxDMhS4RCiC6ZOXMm33//PXfv3qWkpISZM2d6jSkrK+PVV1/FZDLR2tpKa2srer2ehIQEj2Wr2tpaJk2ahMViQa/XYzAYqKur48cff9TGxMXFUVhYyKeffkp9ff1T5Z6UlETfvn29cnU4HPTu3VvLNSgoiJiYGK8ltpSUFI/riIgIQkJCsFqtHm3w59Jme3yTyYTdbtfit7a2kpyczOnTp2lra9PmhoSEEB0drV1HRUV5xHqcuLg4mpqamD17NuXl5dy7d6+zj0QI8TeRAksI0SUpKSn069ePVatWce7cOaZPn+41xu12s2vXLgwGg8fvq6++0vYn/f7776SmpnL58mU+/PBDjh49ysmTJ4mJieHBgwdarK+//prk5GSWLVvG0KFDGTZsGN999123cm9fmvxrrmvXrvXKtaKiwmsvVWBgoMe1j49Ph22Adg9ut5umpiav+PPmzaO1tZVr1649Mf5/xnocu93OF198QU1NDWlpaZjNZrKysmhqanriPCHE30f2YAkhukSv15OZmUlhYSFjxowhPDzca4zJZGLChAmsWrXKq699T9Px48dpbGzkhx9+ICYmRuu/c+cOoaGh2vXzzz/Pli1b2LRpE9XV1axevZqpU6dSV1fH4MGD8fX19dh0Dzy2sPjrRvz2XDMyMsjJyfHq69ev32OeQueZTCb69+9PaWlph/0dFX3d4XQ6cTqduN1udu/eTW5uLgaDgc2bN/dIfCFE10iBJYTosuzsbK5evYrT6eywPyUlhe3bt2O1WjEajR2OuX//PvDvtzQAFRUVNDQ0eCyTtevVqxc2m43Vq1ezZ88e6uvrGTx4MKGhoTQ2NnL37l3tW1zl5eWdvpeUlBTOnTvHyJEj0ev1nZ7XlfgffPABPj4+jBgx4qnjGQyGJ77RMpvNZGdnU1paSm1t7VP/nxCie6TAEkJ0WWxsLLt27Xps/+LFi/nyyy9JTEzk7bffZtCgQdy8eZPKykpCQkLIzc3llVdewd/fn/nz5+Nyufj5559ZsWIFAwcO1OLcuXOHtLQ0Zs2aRWRkJA8fPqSoqIjAwEDtu1uTJ09m+fLlzJkzhzfffJOamho2btzY6XtZuXIlNpuNtLQ03nrrLSwWC9evX+fw4cMkJCR0uATaFePHj2fixIlMmDCBpUuXMmLECJqbm6mpqaG+vp5NmzZ1KZ7VamX37t0kJCRgNBqJjIyksLCQW7dukZSUxIABAzh79iz79u1j8eLFT5W7EKL7ZA+WEKLHBQcHc+LECWJjY3nnnXdITU0lNzeXhoYGRo8eDYDFYuGbb77hxo0bOBwO1q5dy4YNGxgyZIgWx9fXl5deeoni4mJef/11nE4njx49oqysDLPZDPy5Efzzzz/n9OnTOBwOSktL2bZtW6dzHTJkCFVVVQQHB5OTk0NaWhoul4vm5uYeeeME8O233zJv3jw++eQT0tPTtc84JCYmdjnW+vXrefToEenp6dhsNqqrq7HZbFy4cIGcnBxSU1P56KOPyMvLIz8/v0fyF0J0nU4ppZ51EkIIIYQQ/0vkDZYQQgghRA+TAksIIYQQoodJgSWEEEII0cOkwBJCCCGE6GFSYAkhhBBC9DApsIQQQggheti/AHiPw7b4PB8fAAAAAElFTkSuQmCC"
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(X,R,label=\"\")\n",
    "plot!([0,0.4],[0,0.4],label=\"\")\n",
    "ylabel!(\"Simulations\")\n",
    "xlabel!(\"Measurements\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0-element view(::Array{Float64,1}, Int64[]) with eltype Float64"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Step 3: reconstruct hyperspectral soil reflectance using coefficients fitted from multispectral data\n",
    "X = convert(Matrix,hyper)\n",
    "V = convert(Matrix,GSV)\n",
    "R = C * V\n",
    "R[R.<0] .= 0\n",
    "R[R.>1] .= 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 190,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(X,R,label=\"\")\n",
    "plot!([0,0.4],[0,0.4],label=\"\")\n",
    "ylabel!(\"Simulations\")\n",
    "xlabel!(\"Measurements\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 222,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compare measured multispectral data and hyperspectral data with reconstructed ones\n",
    "plot(WVL,transpose(convert(Matrix,hyper)),label=\"Actual hyperspectral reflectance\")\n",
    "scatter!(wvl,transpose(Matrix(multi)),label=\"Observed multispectral reflectance\")\n",
    "plot!(WVL,transpose(R),label=\"Simulated hyperspectral reflectance\\nfitted from multispectral reflectance\")\n",
    "ylabel!(\"Soil albedo\")\n",
    "xlabel!(\"wl (nm)\")\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.3.1",
   "language": "julia",
   "name": "julia-1.3"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.3.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
